Tell whether the slope of the line is positive, negative, zero, or undefined.

Which expression can be used to find the volume of the cylinder in this composite figure?

Whitepunk [10]

Answer:

The volume of the cylinder is $112\pi\ cm^{3}$

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

$V=Bh$

where

B is the area of the base

h is the height of the prism

$B=\pi r^{2}$

In this problem we have

$r=4\ cm$

$h=7\ cm$

substitute

Find the area of the base B

$B=\pi (4^{2})$

$B=16\pi\ cm^{2}$

substitute in the formula of the volume

$V=16\pi (7)$

$V=112\pi\ cm^{3}$

7 0

3 years ago

How many questions do you need to get right on a 10 question test in order to get a 60%?

V125BC [204]

Answer:

this is easy you need to get 6 question right

5 0

3 years ago

The difference of three times Faye’s age and four times Joshua’s age is 31. If Faye’s age is five more than twice Joshua’s age,

REY [17]

Answer:

Faye is 21

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

4 0

3 years ago

What is the nth term rule of the quadratic sequence below?

Ahat [919]

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c

Example 1

Write down the nth term of this quadratic number sequence.

-3, 8, 23, 42, 65...

Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence = -3, 8, 23, 42, 65

1st difference = 11,15,19,23

2nd difference = 4,4,4,4

Step 2: If you divide the second difference by 2, you will get the value of a.

4 ÷ 2 = 2

So the first term of the nth term is 2n²

Step 3: Next, substitute the number 1 to 5 into 2n².

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Differences = -5,0,5,10,15

Now the nth term of these differences (-5,0,5,10,15) is 5n -10.

So b = 5 and c = -10.

Step 5: Write down your final answer in the form an² + bn + c.

2n² + 5n -10

Example 2

Write down the nth term of this quadratic number sequence.

9, 28, 57, 96, 145...

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Sequence = 9, 28, 57, 96, 145...

1st differences = 19,29,39,49

2nd differences = 10,10,10

Step 2: If you divide the second difference by 2, you will get the value of a.

10 ÷ 2 = 5

So the first term of the nth term is 5n²

Step 3: Next, substitute the number 1 to 5 into 5n².

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Differences = 4,8,12,16,20

Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.

Step 5: Write down your final answer in the form an² + bn + c.

5n² + 4n

5 0

3 years ago

GIVEN BRAINLIEST, 5 STARS, + THANKS

Olin [163]

Answer:

<u>Option B. Side YZ is the same length as side Y'X'.</u>

Step-by-step explanation:

At first the image is for the given question

The true graph is the attached figure.

As shown at the attached figure.

XYZ is reflected across the y-axis and then translated down 6 units to form X'Y'Z'.

So, X' is the image of point X

Y' is the image of point Y

Z' is the image of point Z

And ΔXYZ ≅ ΔX'YΔ'Z'

And the corresponding length are congruent.

We will check the options:

A. X has the same measure as X'. ⇒ True

B. Side YZ is the same length as side Y'X'. ⇒ Wrong

Because YZ will be translated to Y'Z'

C. Z has the same measure as Z'. ⇒ True

D. Side XZ is the same length as side X'Z'. ⇒ True

<u>So, The answer is option B. Side YZ is the same length as side Y'X'.</u>

6 0

4 years ago